Results 71 to 80 of about 4,997 (220)
Generalisations of Integral Inequalities of Hermite-Hadamard type through Convexity
, 2012 In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose derivatives are $s$-$(\alpha,m)$-convex.The generalised integral inequalities ...
Bhatti, Muhammad Iqbal +2 more
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A note on the Hermite-Hadamard inequality [PDF]
Journal of Mathematical Inequalities, 2010 In this note we give a new generalization of the well-known Hermite-Hadamard inequality Mathematics subject classification (2010): 52A40, 52A41.
openaire +1 more source
Generalization of q‐Integral Inequalities for (α, ℏ − m)‐Convex Functions and Their Refinements
Journal of Function Spaces, Volume 2025, Issue 1, 2025.This article finds q‐ and h‐integral inequalities in implicit form for generalized convex functions. We apply the definition of q − h‐integrals to establish some new unified inequalities for a class of (α, ℏ − m)‐convex functions. Refinements of these inequalities are given by applying a class of strongly (α, ℏ − m)‐convex functions. Several q‐integral
Ria H. Egami +5 more
wiley +1 more source
Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculus
AIMS MathematicsThe Hermite-Hadamard inequalities are common research topics explored in different dimensions. For any interval $ [\mathrm{b_{0}}, \mathrm{b_{1}}]\subset\Re $, we construct the idea of the Hermite-Hadamard inequality, its different kinds, and its ...
Saad Ihsan Butt +3 more
doaj +1 more source
Fractal and Fractional, 2021 In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom +3 more
doaj +1 more source
An Ostrowski Type Inequality for Convex Functions [PDF]
, 2002 An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH ...
Dragomir, Sever Silvestru
core +2 more sources
Refined and Generalized Versions of Hölder’s Inequality via Schur Convexity of Functions
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we introduce a class of functions associated with Hölder’s inequality and show the Schur convexities of these functions. With the help of Schur convexity, several improved versions of Hölder’s inequality are established. The results obtained here are the generalizations and refinements of the existing results for Hölder’s inequality.
Shanhe Wu, Raúl E. Curto
wiley +1 more source
Refinements of the Hermite-Hadamard Integral Inequality for Log-Convex Functions [PDF]
, 2000 Two refinements of the classical Hermite-Hadamard integral inequality for log-convex functions and applications for special means are ...
Dragomir, Sever S
core
, 2018 The aim of this paper is to establish Hermite-Hadamard, Hermite-Hadamard-Fej\'er, Dragomir-Agarwal and Pachpatte type inequalities for new fractional integral operators with exponential kernel.
Ahmad, Bashir +3 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér‐type inequalities under inclusion order relations. Furthermore, we demonstrate through suitable substitutions that this type of convexity unifies a variety of
Zareen A. Khan +4 more
wiley +1 more source